A teacher has a solid hemisphere of diameter d and asks a student to cut out a sphere of maximum volume from it. Find the ratio of the volume of hemisphere to that of sphere.
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Answer:
Volume of hemisphere = 23πr3
Volume of biggest sphere :
= Volume of sphere with diameter r
=43π(r2)3=16πr3
∴ Required ratio :
=23πr316πr3=41i.e.,4:1
Explanation:
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